127821231636 has 192 divisors, whose sum is σ = 366825984000. Its totient is φ = 34531443072.

The previous prime is 127821231613. The next prime is 127821231661. The reversal of 127821231636 is 636132128721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51065961 + ... + 51068463.

It is an arithmetic number, because the mean of its divisors is an integer number (1910552000).

Almost surely, 2^127821231636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127821231636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183412992000).

127821231636 is an abundant number, since it is smaller than the sum of its proper divisors (239004752364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127821231636 is a wasteful number, since it uses less digits than its factorization.

127821231636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3187 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 127821231636 in words is "one hundred twenty-seven billion, eight hundred twenty-one million, two hundred thirty-one thousand, six hundred thirty-six".